{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5f673202-c42f-4ee7-85e1-1c06ae7e7202",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import os\n",
    "import matplotlib as mpl\n",
    "from scipy.stats import lognorm\n",
    "from scipy.stats import beta \n",
    "import scipy as scp\n",
    "import matplotlib as mpl\n",
    "\n",
    "mpl.rc('font',family = 'Times New Roman')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "beaf9f91-7a87-4239-bda7-6645549829cc",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Rsquared(x,y):\n",
    "    SStot = 0\n",
    "    for i in range(len(y)):\n",
    "        SStot=SStot+(y[i]-np.mean(y))**2\n",
    "\n",
    "    SSres = 0\n",
    "\n",
    "    for i in range(len(y)):\n",
    "        SSres=SSres+(y[i]-x[i])**2\n",
    "\n",
    "    return 1-(SSres/SStot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6a058ae2-3ea5-4854-a5f2-5b272c5153f3",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "g = 9.805\n",
    "\n",
    "H = 16.5\n",
    "R = 13.9\n",
    "n = 8\n",
    "bw = 2*np.pi*R/n\n",
    "\n",
    "fillr = 0.95\n",
    "\n",
    "ro = 0.998\n",
    "ph = ro*g*H*fillr\n",
    "p = ph*bw\n",
    "\n",
    "tb = 8/1000\n",
    "tw = 17/1000\n",
    "A = bw*tb\n",
    "I = bw*tb**3/12\n",
    "Zp = bw*tb**2/4\n",
    "Es = 210000000\n",
    "v = 0.3 \n",
    "Fys = 235000\n",
    "My = Fys*Zp\n",
    "\n",
    "ros = 7.850 #density of steel\n",
    "Ww = ros*g*H*bw*tw #weight of wall over one side of the strip\n",
    "tr = 31/1000\n",
    "mr = 35\n",
    "Wr = mr*g #weight of roof\n",
    "Wrr = Wr/n\n",
    "mtot = ro*H*fillr*np.pi*R**2\n",
    "Wtot = mtot*g\n",
    "\n",
    "kuu = Es*bw*(tw/R)**1.5/((3*(1-v**2))**0.25)\n",
    "ktt = Es*bw*tw**2*(tw/R)**0.5/(2*(3*(1-v**2))**0.75)\n",
    "ktu = -Es*bw*tw*(tw/R)/(2*(3*(1-v**2))**0.5)\n",
    "\n",
    "kuus = kuu-ktu**2/ktt\n",
    "dtu = -ktu/(ktt*kuu-ktu**2)\n",
    "dtt = kuu/(ktt*kuu-ktu**2)\n",
    "\n",
    "Ly = (6*My/p)**0.5\n",
    "wy = p*Ly**4/(72*Es*I)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "bbca4ba7-f409-4296-a5a9-97bfe4c190e1",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.005143420076563426"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "e219adee-6f65-4307-91e2-9e3d169669ac",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "#String Solution\n",
    "L = np.linspace(0,5,1000)\n",
    "N = np.zeros(len(L))\n",
    "for i in range(len(L)):\n",
    "    N[i] = 0.55*p*L[i]*((kuus/p)/(1+kuus*L[i]/(A*Es)))**(1/3)\n",
    "    \n",
    "Vs = np.zeros(len(L))\n",
    "ws = np.zeros(len(L))\n",
    "\n",
    "for i in range(len(L)):\n",
    "    Vs[i] = p*L[i]\n",
    "    if(i!=0):\n",
    "        ws[i] = p*L[i]**2/(2*N[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "170bd325-9eb9-4ebd-aa71-f80ade62832b",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "#Bending Solution\n",
    "wb = np.zeros(len(L))\n",
    "Vb = np.zeros(len(L))\n",
    "\n",
    "for i in range(1,len(L)):\n",
    "    M1 = -((ktt)/(ktt+2*Es*I/L[i]))*(p*L[i]**2/6)\n",
    "    if(abs(M1)>My):\n",
    "        M1 = -My\n",
    "    wb[i] = p*L[i]**4/(24*Es*I)+M1*L[i]**2/(6*Es*I)\n",
    "    Vb[i] = p*L[i]/2 - M1/L[i]\n",
    "    Lmax = 3.414*(My/p)**0.5\n",
    "    if(L[i]>=Lmax):\n",
    "        Vb[i] = p*Lmax/2 - M1/Lmax\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "971d08b4-4726-413b-8225-43b966ca97ad",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "pull = np.loadtxt('./ResultsBP/disp.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "33d48d21-b1d6-4f77-8d6b-41c57a215c87",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x20c645ad490>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plt.title('Strip of Base Plate of 11.83 m width')\n",
    "plt.plot((pull[:,1]),(pull[:,0]),label='Beam FE Model Bakalis et al.(2017)')\n",
    "plt.xlim(0,0.5)\n",
    "plt.ylim(0,5000)\n",
    "plt.plot(wb,Vb,label='Bending Solution Malhotra & Veletsos (1994)')\n",
    "plt.plot(ws,Vs,label='String Solution Malhotra & Veletsos (1994)')\n",
    "#plt.plot((0.006,0.006),(0,3000),ls='--',color='k')\n",
    "plt.xlabel(r'Uplift, $w$ (m)')\n",
    "plt.ylabel(r'Force, $F$ (kN)')\n",
    "#plt.plot((0,0.0049),(0,574),color='k')\n",
    "#plt.plot((0.0049,0.5),(574,3300),color='k',label='Proposed method')\n",
    "plt.legend()\n",
    "\n",
    "\n",
    "\n",
    "#plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure2_P2.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "81a00a5b-501a-4096-8150-9d2c2157d5e2",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Rotation_Uplift(theta):\n",
    "    Lm2a=Ly+0.01\n",
    "    Lm2b=0\n",
    "    true = 0\n",
    "    while(true==0):\n",
    "        wm2 = theta/((2/Lm2a)-(1/(2*R)))\n",
    "        N2 = 0.55*(Lm2a-Ly)*p*((kuus/p)/(1+kuus*(Lm2a-Ly)/(A*Es)))**(1/3)\n",
    "        Lm2b = (2*wm2*N2/p)**0.5+Ly\n",
    "        if(abs(Lm2a-Lm2b)<0.001):\n",
    "            true = 1\n",
    "        else:\n",
    "            Lm2a=Lm2b\n",
    "    return wm2,Lm2b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a8540e4d-3d1c-48a2-8947-919fcac1942f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10.95306684505348"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wpl1,Lpl1 = Rotation_Uplift(0.2)\n",
    "wpl1/wy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "788dc88f-dc54-43d8-aea4-03ea4de3f316",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "41.480898404097076"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wpl2,Lpl2 = Rotation_Uplift(0.4)\n",
    "wpl2/wy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "67cb8b5e-f57a-4252-b05b-7bdedd456ec6",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "L1t =np.linspace(0.1,0.9,1000)\n",
    "w1t =np.zeros(len(L1t))\n",
    "\n",
    "for i in range(len(L1t)):\n",
    "    true = 0\n",
    "    N = 300\n",
    "    #print(L1t[i])\n",
    "\n",
    "    while(true==0):\n",
    "        lam = (N*L1t[i]**2/(Es*I))**0.5\n",
    "        dtheta = 0\n",
    "        M1 = ((p*L1t[i]/N)*(1-(2/lam)*np.tanh(lam/2))+dtu*N-dtheta)/(L1t[i]/(Es*I*lam)*np.tanh(lam/2)+dtt)\n",
    "        if(abs(M1)<My):\n",
    "            M1 = -M1\n",
    "        else:\n",
    "            M1 = -My\n",
    "\n",
    "        C = ((M1*L1t[i])/(Es*I))*(1/np.sinh(lam))+(p*L1t[i]/N)*np.tanh(lam/2)\n",
    "        D = -p*L1t[i]/N\n",
    "        u1 = (N*L1t[i]/(A*Es))-((D**2*L1t[i]/(2*lam**2))*(-0.5+((lam**2)/3)+(2*np.sinh(lam)/lam)+(np.sinh(2*lam)/(4*lam))-(2*np.cosh(lam))))-((C**2*L1t[i]/(2*lam**2))*(1.5-(2*np.sinh(lam)/lam)+(np.sinh(2*lam)/(4*lam))))-((C*D*L1t[i]/(2*lam**2))*(lam-1/(2*lam)-(2*np.sinh(lam))+(np.cosh(2*lam)/(2*lam))))\n",
    "\n",
    "        N1 = -(kuu-(ktu**2/ktt))*u1+(ktu/ktt)*M1\n",
    "        #print(N1)\n",
    "        if(abs(N-N1)<0.1):\n",
    "            true = 1\n",
    "        else:\n",
    "            N = N1\n",
    "        #print(N)\n",
    "    #print(i)\n",
    "    w1t[i] = (M1/N)*(1-(lam/np.sinh(lam)))+(p*L1t[i]**2/(2*N))*(1-(2/lam)*np.tanh(lam/2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "93d181ea-e20b-4dc6-8f20-01ebfbbf9d4d",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "winkSpring = np.loadtxt('./ResultsBP/WinklerSprings.out')\n",
    "lb = 50/1000\n",
    "\n",
    "nZeros = np.zeros(len(winkSpring))\n",
    "Lfe = np.zeros(len(winkSpring))\n",
    "\n",
    "for i in range(len(Lfe)):\n",
    "    if(winkSpring[i][-1]==0):\n",
    "        for j in range(len(winkSpring[i])):\n",
    "            if(winkSpring[i][j] == 0):\n",
    "                nZeros[i] = nZeros[i]+1\n",
    "            \n",
    "Lfe = nZeros*lb  \n",
    "ind = []\n",
    "ind.append(0)\n",
    "for i in range(len(Lfe)-1):\n",
    "    if(Lfe[i]!=Lfe[i+1]):\n",
    "        ind.append(i+1)\n",
    "        \n",
    "for i in range(1,len(ind)):\n",
    "    delta = (Lfe[ind[i]]-Lfe[ind[i-1]])/(ind[i]-ind[i-1])\n",
    "    for j in range(ind[i-1],ind[i]):\n",
    "        Lfe[j] = Lfe[ind[i-1]] + delta*(j-ind[i-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "88a78515-5d80-419a-804f-d4313272b3d2",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Uplift_SepL(w):\n",
    "    if(w<=wy):\n",
    "        return w*(Ly/wy)\n",
    "    else:\n",
    "        Lm2a=Ly+0.01\n",
    "        Lm2b=0\n",
    "        true = 0\n",
    "        while(true==0):\n",
    "            N2 = 0.55*(Lm2a-Ly)*p*((kuus/p)/(1+kuus*(Lm2a-Ly)/(A*Es)))**(1/3)\n",
    "            Lm2b = (2*w*N2/p)**0.5+Ly\n",
    "            if(abs(Lm2a-Lm2b)<0.0001):\n",
    "                true = 1\n",
    "            else:\n",
    "                Lm2a=Lm2b\n",
    "            #print(Lm2a)\n",
    "        return Lm2b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "417e298a-b609-47e3-b53d-70a61202c9b9",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "w2 = np.linspace(0,0.5,100)\n",
    "L2 = np.zeros(len(w2))\n",
    "for i in range(len(w2)):\n",
    "    L2[i] = Uplift_SepL(w2[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "aa40cb5f-d04a-494d-b8fc-918502282482",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "w3 = w1t\n",
    "L3 = np.zeros(len(w3))\n",
    "for i in range(len(w3)):\n",
    "    L3[i] = Uplift_SepL(w3[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "c789244c-6f01-4d3f-88b9-0edf0f39d34f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8589551496939664"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Rsquared(L3,L1t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "c4bb172b-b5d7-4936-ad8f-9f463a2b5f6b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.06827761758015473"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "REL = np.zeros((len(L1t)))\n",
    "\n",
    "for i in range(len(L1t)):\n",
    "    REL[i] = abs(L1t[i]-L3[i])\n",
    "MREL= np.mean(REL)\n",
    "MREL"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "54b299e4-56de-4bd6-9fb7-6c0716046ad6",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "dataBKL = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DataBK_L_1.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "59cd1d76-5e0b-4f86-84b5-afc80986dadd",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "L4 = np.zeros(len(dataBKL[:,0]))\n",
    "for i in range(len(L4)):\n",
    "    L4[i] = Uplift_SepL(dataBKL[i,0]/1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "18f72ef0-d484-400c-af0b-acc10b0c98b8",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9912937997845787"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Rsquared(L4,dataBKL[:,1]/1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "69e5ea9f-f543-4b33-bafe-a06fc4649562",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "with open('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Data_SPA.txt','w') as f:\n",
    "    for i in range(len(L4)):\n",
    "        f.write(str(dataBKL[i,0]/1000)+' '+str(L4[i])+'\\n')\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "7708b543-1d77-47e4-90b2-af14816d567e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plt.plot(wb,L)\n",
    "#plt.plot(ws,L)\n",
    "w1 = np.linspace(0,1.5,1000)\n",
    "L1 = np.zeros(len(w1))\n",
    "for i in range(len(w1)):\n",
    "    L1[i] = 2*w1[i]/(0.2+w1[i]/(2*R))\n",
    "\n",
    "#plt.plot(w1,L1)\n",
    "plt.plot(dataBKL[:,0]/1000,L4)\n",
    "plt.plot(w1t,L1t,label='Theoretical Solution for Beam strip, Malholtra and Veletsos (1994)')\n",
    "plt.plot(dataBKL[:,0]/1000,dataBKL[:,1]/1000,label='Refined FE, Bakalis and Karamanos (2021)')\n",
    "plt.plot(w2,L2,color='k',label=r'Proposed Solution; $R^2=0.86$ (TS); $R^2=0.99$ (RFE)')\n",
    "#plt.plot(ws,ws/(0.2+ws/(2*R)))\n",
    "plt.xlim(0,0.2)\n",
    "plt.ylim(0,2)\n",
    "\n",
    "plt.legend()\n",
    "plt.xlabel(r'Uplift, $w$ [m]')\n",
    "plt.ylabel(r'Separation Length, $L$ [m]')\n",
    "plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure3_P4.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "ab2420b0-8805-4deb-8b70-f396faa23b8d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x20c66ebbad0>]"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(wb,Vb)\n",
    "plt.plot(ws,Vs)\n",
    "plt.xlim(0,0.3)\n",
    "plt.ylim(0,3000)\n",
    "plt.plot((0.005,0.005),(0,3000),ls='--',color='k')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "5c3ab52f-d600-4e48-9462-721d73c0231b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model Built\n",
      "Pushover analysis completed\n",
      "Done\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING analysis Static - no Integrator specified, \n",
      " StaticIntegrator default will be used\n"
     ]
    }
   ],
   "source": [
    "#Units in m and kN\n",
    "import openseespy.opensees as op\n",
    "op.wipe()\n",
    "op.model('basic', '-ndm', 2, '-ndf', 3) \n",
    "\n",
    "op.node(1, 0.0, 0.0)\n",
    "op.node(2, 0.0, 0.0)\n",
    "\n",
    "op.fix(1, 1, 1, 1)\n",
    "nodeR = 1\n",
    "nodeC = 2\n",
    "op.equalDOF(nodeR, nodeC, 2, 3)\n",
    "\n",
    "matTag1 = 5\n",
    "ePf1 = 450\n",
    "ePd1 = 0.005\n",
    "k1 = ePf1/ePd1\n",
    "\n",
    "ePf2 = 600\n",
    "ePd2 = 0.09\n",
    "k2 = (ePf2-ePf1)/(ePd2-ePd1)\n",
    "\n",
    "sigAct = ePf1\n",
    "beta =0.4\n",
    "epsSlip = 0.0\n",
    "epsBear = 0.2\n",
    "\n",
    "ePf3 = 2000\n",
    "ePd3 = 0.4\n",
    "\n",
    "k3 = (ePf3-ePf2)/(ePd3-ePd2)\n",
    "\n",
    "rBear = k3/k1\n",
    "\n",
    "op.uniaxialMaterial('SelfCentering',matTag1,k1,k2,sigAct,beta,epsSlip,epsBear,rBear)\n",
    "matTag2 = 6\n",
    "K = 800/0.3\n",
    "op.uniaxialMaterial('Elastic',matTag2,K,0,1e10)\n",
    "\n",
    "#matTag3 = 7\n",
    "#k2 = ePf2/ePd2\n",
    "#dy = ePd1\n",
    "#Fy = k2*dy\n",
    "#b = 0\n",
    "\n",
    "#op.uniaxialMaterial('Steel01',matTag3,Fy,k2,b)\n",
    "\n",
    "ParMatTag = 8\n",
    "op.uniaxialMaterial('Parallel',ParMatTag,matTag1,matTag2)\n",
    "\n",
    "\n",
    "eleID = 5\n",
    "\n",
    "op.element('zeroLength', eleID, nodeR, nodeC, '-mat', ParMatTag, '-dir',1)\n",
    "\n",
    "print(\"Model Built\")\n",
    "\n",
    "op.recorder('Node', '-file', 'Force.out','-node', 1, '-dof', 1, 'reaction')\n",
    "op.recorder('Node', '-file', 'DispS.out','-node', 2, '-dof', 1, 'disp')\n",
    "\n",
    "displist = [3/1000,0,3/1000,0,10/1000,0,10/1000,0,20/1000,0,20/1000,0,30/1000,0,30/1000,0,50/1000,0,50/1000,0,100/1000,0,100/1000,0,150/1000,0,150/1000,0,200/1000,0,200/1000,0,300/1000,0,300/1000,0,500/1000,0,500/1000,1000/1000,0,1000/1000,0]\n",
    "#displist = [50/1000,0,50/1000,0]\n",
    "dstep = 1/1000\n",
    "ctrlNode = 2 # node where disp is read for disp control\n",
    "dof  = 1 # degree of freedom read for disp control (1 = x displacement)\n",
    "\n",
    "POtag = 100;\n",
    "linTS = 2\n",
    "op.timeSeries('Linear',linTS)\n",
    "\n",
    "op.pattern('Plain', POtag, linTS)     \n",
    "op.load(ctrlNode,1,0,0)\n",
    "op.reactions()\n",
    "Disp = [op.nodeDisp(ctrlNode,dof)]\n",
    "force = [op.nodeReaction(1,dof)]\n",
    "\n",
    "testParams = [1.e-4, 50]\n",
    "\n",
    "op.numberer('RCM') # renumber dof's to minimize band-width (optimization), if you want to\n",
    "op.system('BandGeneral') # how to store and solve the system of equations in the analysis\n",
    "op.constraints('Plain') # how it handles boundary conditions\n",
    "op.test('NormDispIncr',*testParams) # determine if convergence has been achieved at the end of an iteration step\n",
    "op.algorithm('Newton') # use Newton's solution algorithm: updates tangent stiffness at every iteration\n",
    "op.analysis('Static') # define type of analysis static or transient\n",
    "\n",
    "ok = 0\n",
    "for j in range(0,len(displist)):\n",
    "    if(ok != 0):\n",
    "        break\n",
    "    dispnew = displist[j]\n",
    "    if(j > 0):\n",
    "        dispold = displist[j-1]\n",
    "    else:\n",
    "        dispold = 0\n",
    "    disp = dispnew - dispold\n",
    "    if(disp > 0):\n",
    "        dsteps = dstep\n",
    "    else:\n",
    "        dsteps = -dstep\n",
    "    nstep = int(disp/dsteps)\n",
    "    op.integrator('DisplacementControl', ctrlNode, dof, dsteps) # determine the next time step for an analysis\n",
    "    for i in range(nstep):\n",
    "        ok = op.analyze(1)\n",
    "        if(ok != 0):\n",
    "            testParams2 = [1.e-4, 2000]\n",
    "            op.test('EnergyIncr',*testParams2)\n",
    "            op.algorithm('Newton','-initial')\n",
    "            print(\"Trying Newton with Initial Tangent ..\")\n",
    "            ok = op.analyze(1)\n",
    "            op.test('NormDispIncr',*testParams) \n",
    "            op.algorithm('Newton') \n",
    "        if(ok!= 0):\n",
    "            op.algorithm('Broyden',50)\n",
    "            op.test('RelativeNormDispIncr',*testParams2)\n",
    "            print(\"Trying Broyden ..\")\n",
    "            ok = op.analyze(1) \n",
    "            op.test('NormDispIncr',*testParams) \n",
    "            op.algorithm('Newton') \n",
    "        if(ok != 0):\n",
    "            op.algorithm('NewtonLineSearch')\n",
    "            print(\"Trying NewtonWithLineSearch ..\")\n",
    "            ok = op.analyze(1)\n",
    "            op.algorithm('Newton') # use Newton's solution algorithm: updates tangent stiffness at every iteration\n",
    "        if(ok == 0):\n",
    "            #ctrlDisp.append(op.nodeDisp(ctrlNode,dof))\n",
    "            #force.append(op.nodeReaction(1,dof))\n",
    "            dsp = round(op.nodeDisp(ctrlNode,dof),3)\n",
    "            #print(f'Displacement {dsp} reached of {dispnew}')\n",
    "        else:\n",
    "            break\n",
    "print('Pushover analysis completed')\n",
    "\n",
    "if(ok != 0):\n",
    "    print('Problem with Pushover')\n",
    "else:\n",
    "    print('Done')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "df747cab-a5d6-4885-843c-e25787f644cf",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "f = np.loadtxt('Force.out')\n",
    "d = np.loadtxt('DispS.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "db4ca0ad-455a-4f07-9873-db07d6145c6e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8452"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "f58809fa-ef76-4542-adde-257f112cb2c8",
   "metadata": {},
   "outputs": [],
   "source": [
    "pullC = np.loadtxt('./ResultsBP/disp_Cyclic.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "1fdc9066-77d5-426d-a02e-64f23da8a124",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.title('Half Cycle Pushover')\n",
    "plt.plot((pullC[:,1]),(pullC[:,0]),label='Bakalis et al. (2017)')\n",
    "plt.plot(d,-f,label='Calibrated Self-Centering uniaxial zero length spring')\n",
    "#plt.plot((dy,dy),(0,2000),color='k',ls='--')\n",
    "#plt.plot((dc,dc),(0,2000),color='k',ls='--')\n",
    "#plt.plot((0,0.3),(Fc,Fc),color='k',ls='--')\n",
    "plt.ylim(-50,3000)\n",
    "plt.xlim(0,0.4)\n",
    "plt.xlabel(r'Uplift, $w$ (m)')\n",
    "plt.ylabel(r'Force, $F$ (kN)')\n",
    "plt.legend()\n",
    "plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure3_P2.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "6084e076-c410-4fe6-b55f-bb532043f32b",
   "metadata": {},
   "outputs": [],
   "source": [
    "inx = []\n",
    "for i in range(0,len(pullC[:,1])-1):\n",
    "    if(i == 0):\n",
    "        inx.append(1)\n",
    "    if(pullC[i-1,1]>pullC[i,1] and pullC[i+1,1]>pullC[i,1]):\n",
    "        inx.append(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "31ce15d9-e6b6-4172-9b2c-5c099c849876",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "inxN = []\n",
    "for i in range(0,len(d)-1):\n",
    "    if(i == 0):\n",
    "        inxN.append(1)\n",
    "    if(d[i-1]>d[i] and d[i+1]>d[i]):\n",
    "        inxN.append(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "a222c9fc-b4ca-45ef-875a-78a6f1a6a85e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "21"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(inxN)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "4bfa9804-0c0a-42e6-b5bd-77fa89c125e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x20c66fceb10>]"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n =16\n",
    "plt.plot(pullC[inx[n]:inx[n+1],1],pullC[inx[n]:inx[n+1],0])\n",
    "plt.plot(d[inxN[n]:inxN[n+1]],-f[inxN[n]:inxN[n+1]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "8bc1d105-9a43-4506-a399-a7f6d6089fad",
   "metadata": {},
   "outputs": [],
   "source": [
    "E = np.zeros(len(inx))\n",
    "ksi = np.zeros(len(inx))\n",
    "dmax = np.zeros(len(inx))\n",
    "\n",
    "for i in range(1,len(inx)):\n",
    "    E[i] = 0.0\n",
    "    for j in range(inx[i-1],inx[i]):\n",
    "        E[i] = E[i] + 2*0.5*(pullC[j-1,0]+pullC[j,0])*(pullC[j,1]-pullC[j-1,1])\n",
    "    ksi[i] = E[i]/(2*np.pi*max(pullC[inx[i-1]:inx[i],0])*max(pullC[inx[i-1]:inx[i],1]))\n",
    "    dmax[i] = max(pullC[inx[i-1]:inx[i],1])\n",
    "    \n",
    "Eabs = np.zeros(len(E))\n",
    "\n",
    "for i in range(1,len(Eabs)):\n",
    "    Eabs[i] = Eabs[i-1]+E[i] "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "cd497325-17df-4730-901e-96cd8a5a3d3f",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "EN = np.zeros(len(inxN))\n",
    "ksiN = np.zeros(len(inxN))\n",
    "dmaxN = np.zeros(len(inxN))\n",
    "\n",
    "for i in range(1,len(inxN)):\n",
    "    EN[i] = 0.0\n",
    "    for j in range(inxN[i-1],inxN[i]):\n",
    "        EN[i] = EN[i] + 2*0.5*(-f[j-1]-f[j])*(d[j]-d[j-1])\n",
    "    ksiN[i] = EN[i]/(2*np.pi*max(-f[inxN[i-1]:inxN[i]])*max(d[inxN[i-1]:inxN[i]]))\n",
    "    dmaxN[i] = max(d[inxN[i-1]:inxN[i]])\n",
    "    \n",
    "EabsN = np.zeros(len(EN))\n",
    "\n",
    "for i in range(1,len(EabsN)):\n",
    "    EabsN[i] = EabsN[i-1]+EN[i] "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "a67df84f-72bb-46b9-af8f-e6560ed1f6e7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.02768420112647071"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RE = np.zeros((len(Eabs[10:])))\n",
    "\n",
    "for i in range(10,len(Eabs)):\n",
    "    RE[i-10] = abs(Eabs[i]-EabsN[i])/Eabs[i]\n",
    "   \n",
    "MRE = np.mean(RE)\n",
    "MRE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "4738695a-a451-4b2c-9bc3-b4f4f90cc80a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9981185872922234"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Rsquared(EabsN[10:],Eabs[10:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "5a16e17b-3184-421f-b4ff-4e95bc52b3d7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.12204388018011589"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "REk = np.zeros((len(ksi[10:])))\n",
    "\n",
    "for i in range(10,len(ksi)):\n",
    "    REk[i-10] = abs(ksi[i]-ksiN[i])/ksi[i]\n",
    "    \n",
    "MREk = np.mean(REk)\n",
    "MREk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "159cad2e-1d98-4620-a0b1-03b556cdd3b4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.919100218165847"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Rsquared(ksiN[10:],ksi[10:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "054a8fcb-e882-4d83-83a2-c07ab0efd145",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x20c6825e2d0>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,4))\n",
    "\n",
    "plt.subplot(1,2,1)\n",
    "plt.plot(dmax,Eabs,color='k',label='Refined Base Plate Model (Malhotra & Veletsos, 1994)')\n",
    "plt.plot(dmaxN,EabsN,color='grey',label='Simplified uniaxial material')\n",
    "plt.xlim(0,1)\n",
    "plt.ylim(0,1500)\n",
    "plt.xlabel(r'Uplift, $w$ (m)',fontsize=12)\n",
    "plt.ylabel(r'Absorbed Energy (kJ)',fontsize=12)\n",
    "plt.legend()\n",
    "\n",
    "plt.subplot(1,2,2)\n",
    "plt.plot(dmax[10:]/wy,ksi[10:],'o',color='k',label='Refined Base Plate Model (Malhotra & Veletsos, 1994)')\n",
    "plt.plot(dmaxN[10:]/wy,ksiN[10:],'o',color='grey',label='Simplified uniaxial material')\n",
    "plt.xlim(0,50)\n",
    "plt.ylim(0,0.2)\n",
    "plt.xlabel(r'Uplift Ductility, $\\mu_{w}$',fontsize=12)\n",
    "plt.ylabel(r'Equivalent Viscous Damping Ratio, $\\xi_{eq}$',fontsize=12)\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "16ef7c75-7034-45ab-a002-2b6169bb791b",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "9c6f3117-4d40-43a9-b383-281611154d46",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "n = np.linspace(0,145,145, dtype='int')\n",
    "gamma = fillr*H/R\n",
    "vn = np.zeros(len(n))\n",
    "for i in range(len(n)):\n",
    "    vn[i] = np.pi*(2*n[i]+1)/2\n",
    "    \n",
    "I1 = np.zeros(len(n))\n",
    "I1p = np.zeros(len(n))\n",
    "\n",
    "for i in range(len(n)):\n",
    "    I1[i] = scp.special.i1(vn[i]/gamma)\n",
    "    I1p[i] = scp.special.i0(vn[i]/gamma)- scp.special.i1(vn[i]/gamma)/(vn[i]/gamma)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "0a9f2a36-d2d5-4e74-b1ca-ea509eb383ee",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "mi = np.sum(2*mtot*gamma*(I1/(I1p*vn**3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "07e3d09a-14ce-4bb6-9903-e29ede87766d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5917228188566012"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mi/mtot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "3efc7029-16bb-4e1b-9771-27a104f8cc83",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "hi = H*np.sum((-1)**n*I1*(vn*(-1)**n-1)/(vn**4*I1p))/np.sum((I1/(I1p*vn**3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "25ad76c9-630b-4d1d-a1a6-e62e0f3bb6bf",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6.702689319167032"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "a3d5dd75-7b72-4f12-bd07-715b4030b4b0",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "Ci = 6.2\n",
    "ro = 998\n",
    "tw = 17.7/1000\n",
    "Es1 = Es*1000\n",
    "Ti = Ci*H*(ro/Es1)**0.5/(tw/R)**0.5\n",
    "ki = 4*np.pi**2*mi/Ti**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "2e45154f-e4df-4acf-930d-cd559ee56f88",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "lam1 = 1.8412\n",
    "mc = mtot*2*np.tanh(lam1*gamma)/(lam1*gamma*(lam1**2-1))\n",
    "g = 9.805"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "93573e94-9f8e-4e4c-8f31-d945e6d0afb1",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.39055060338333925"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mc/mtot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "04f8ac5b-d211-4ca9-a2ff-d92fdea792e8",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "hc = H*(1+(1-np.cosh(lam1*gamma))/(lam1*gamma*np.sinh(lam1*gamma)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "7dd64463-8374-4845-94c7-955885dc89da",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10.324095026568012"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "b423bbaa-34a3-41e6-859e-e2c41b361993",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "Tc = 2*np.pi*(R/g)**0.5/(lam1*np.tanh(lam1*H/R))**0.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "30b5435d-da2f-4918-8382-0134ce3d536c",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.583430116180643"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Tc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "266cb6a2-8640-40d5-8137-27f94562bdd7",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Base_Shear(L):\n",
    "    mm = 1-((L)/(2*R))\n",
    "    thm = np.arctan(mm/(1-mm))\n",
    "    km = (2/(thm)**2)*(1-np.cos(thm))\n",
    "    Wsm = Wtot*(1-mm**2)\n",
    "    Wfm = Wtot-Wsm\n",
    "    Mm=Wsm*km*R+Wfm*R*(1-mm)\n",
    "    Vm = Mm/hi\n",
    "    return Vm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "3e66127a-61ce-43ab-b015-7ab0b830ea9f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6895.139791726913"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Vyt = Base_Shear(Ly)\n",
    "Vyt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "3d2a5b72-8f01-472c-944b-018a0258dd3c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0012400988061572285"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wy*hi/(2*R)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "1bad99af-7a66-4504-b19c-31ae6dff9a15",
   "metadata": {},
   "outputs": [],
   "source": [
    "jm = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Tank Archetypes/Tank A/ResultsJM/disp.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "904bbadb-495c-4ec6-bd4f-58dfe49aa9a5",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "Apo = np.trapz(jm[:,0],jm[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "d9c007fd-86b0-4c5e-907f-ec024a024e8b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "68.22936885750005\n"
     ]
    }
   ],
   "source": [
    "dy = 0.0012\n",
    "Vy = 6000\n",
    "dmax = jm[-1,1]\n",
    "Vmax = jm[-1,0]\n",
    "\n",
    "Abl = dy*Vy*0.5+(Vmax+Vy)*0.5*(dmax-dy)\n",
    "print(abs(Abl-Apo))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "7af5ecbd-e91e-4543-828e-818d2c6f8a8b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 37509.465000000004)"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(jm[:,1],jm[:,0])\n",
    "plt.plot((0,dy),(0,Vy),color='k')\n",
    "plt.plot((dy,dmax),(Vy,Vmax),color='k')\n",
    "plt.plot((0,dmax),(0.1*Vy,0.1*Vy),color='k',ls='--')\n",
    "plt.xlabel(r'Displacement of impulsive mass, $\\Delta_{i}$ (m)')\n",
    "plt.ylabel(r'Force, $F$ (kN)')\n",
    "plt.xlim(0)\n",
    "plt.ylim(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "63ea2ff4-e3d1-4427-9114-be7e647584e8",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "jmI = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Tank Archetypes/Tank A/ResultsJM/dispI.out')\n",
    "upliftI = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Tank Archetypes/Tank A/ResultsJM/UpliftI.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "e236f524-7fac-4c5f-bdba-9a7eb444d97e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.002414091742016849"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Vyt/ki+dy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "cc93b6fc-22d1-418d-960d-5636073fd3f7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "17.4850912134998\n"
     ]
    }
   ],
   "source": [
    "ApoI = np.trapz(jmI[:,0],jmI[:,1])\n",
    "dyI = 0.003\n",
    "VyI = 5500\n",
    "dmaxI = 0.1\n",
    "VmaxI = jmI[-1,0]\n",
    "\n",
    "AblI = dyI*VyI*0.5+(VmaxI+VyI)*0.5*(dmaxI-dyI)\n",
    "print(abs(AblI-ApoI))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "4281113e-0cea-4160-afeb-a2d966b67a31",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 33978.0)"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(jmI[:,1],jmI[:,0])\n",
    "plt.plot((0,dyI),(0,VyI),color='k')\n",
    "plt.plot((dyI,dmaxI),(VyI,VmaxI),color='k')\n",
    "plt.plot((0,dmaxI),(0.1*VyI,0.1*VyI),color='k',ls='--')\n",
    "plt.xlabel(r'Displacement of impulsive mass, $\\Delta_{i}$ (m)')\n",
    "plt.ylabel(r'Force, $F$ (kN)')\n",
    "plt.xlim(0)\n",
    "plt.ylim(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "ac759354-8b47-4699-a038-c894e3e33f51",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.25366178031398423"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(Vyt-VyI)/VyI"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "c54c0929-aefb-4cb2-b10e-cf4dd86e61f2",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.4331540473244555"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(upliftI[:,1],jmI[:,1])\n",
    "plt.plot(upliftI[:,1],upliftI[:,1]*(hi/(2*R))*1.2)\n",
    "plt.ylabel(r'Displacement of impulsive mass, $\\Delta_{i}$ (m)')\n",
    "plt.xlabel(r'Uplift, $w$ (m)')\n",
    "(wpl1*hi/(2*R)*1.2)/dyI"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "4a835477-b872-485a-84c7-df92c4a12f88",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "dataBK = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DataBK_M_1.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "615c4927-4e4e-4e07-aec8-4f5c0bda6fe0",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "#wcomp = np.linspace(0.001,0.3,3000)\n",
    "Lcomp = np.zeros(len(dataBK[:,0]))\n",
    "Mcomp = np.zeros(len(Lcomp))\n",
    "\n",
    "for i in range(3,len(dataBK[:,0])):\n",
    "    Lcomp[i] = Uplift_SepL(dataBK[i,0]/1000)\n",
    "    Mcomp[i] = Base_Shear(Lcomp[i])*hi/1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "9bf7b736-b3bd-40a5-b17e-bc8010da570d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dataBK[:,0],Mcomp, label=r'Simplified Procedure from Calvi and Nascimbene (2023); $R^2=0.89$')\n",
    "plt.plot(dataBK[:,0],dataBK[:,1], label='Refined FE model (Bakalis and Karamanos, 2021)')\n",
    "#plt.plot(upliftI[:,1]*1000,jmI[:,0]*hi/1000, label='Simplified model from Bakalis et al (2017)')\n",
    "plt.xlabel(r'Uplift, $w$ (mm)')\n",
    "plt.ylabel(r'Overturning Moment, $M$ (MNm)')\n",
    "plt.xlim(0,250)\n",
    "plt.ylim(0)\n",
    "plt.legend()\n",
    "plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure1_P4.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "b1bbeeea-3ed4-45fc-b3a4-16edf0b691c0",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9671011916335629"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Rsquared(0.9*Mcomp,dataBK[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "a54a9b45-a34b-4568-8537-6a03fe6cdd77",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.        , 1.        , 1.        , 0.8597564 , 0.90770293,\n",
       "       0.92848505, 0.88577331, 0.75384869, 0.35311862, 0.03332378,\n",
       "       0.18336042, 0.11080186, 0.0529316 , 0.01670416, 0.00484564,\n",
       "       0.03099321, 0.04779932, 0.06363952, 0.06901379, 0.06819022,\n",
       "       0.06837792, 0.06332164, 0.0566106 , 0.05020413, 0.04360126,\n",
       "       0.03817813, 0.02926936, 0.02231676, 0.01477128, 0.0080307 ,\n",
       "       0.00251761, 0.00216348, 0.00645   , 0.01126094, 0.01554475,\n",
       "       0.01887226, 0.02271808, 0.0267694 , 0.03275396, 0.03487219,\n",
       "       0.03916325, 0.04157181, 0.04428346, 0.04862131, 0.05280267,\n",
       "       0.05680109, 0.0591131 , 0.06407539, 0.06988041])"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "REM = np.zeros((len(Mcomp)))\n",
    "\n",
    "for i in range(len(Mcomp)):\n",
    "    REM[i] = abs(0.9*Mcomp[i]-dataBK[i,1])/dataBK[i,1]\n",
    "MREM= np.mean(REM)\n",
    "REM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "b444f335-6d3c-4f73-a0db-fedcf7bdab56",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.12119884111701626\n",
      "0.31484491392103137\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([0.14813753, 0.31484491, 0.23422429, 0.169924  , 0.12967128,\n",
       "       0.10572707, 0.07667421, 0.05800075, 0.04040053, 0.03442912,\n",
       "       0.0353442 , 0.03513565, 0.04075374, 0.04821044, 0.05532874,\n",
       "       0.06266527, 0.06869096, 0.0785896 , 0.08631471, 0.09469858,\n",
       "       0.10218811, 0.10831376, 0.11351497, 0.11827778, 0.12362327,\n",
       "       0.12838306, 0.13208029, 0.13635342, 0.14085489, 0.1475044 ,\n",
       "       0.14985799, 0.15462584, 0.15730201, 0.16031496, 0.16513479,\n",
       "       0.16978075, 0.17422343, 0.17679234, 0.18230599, 0.18875601])"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RE = np.zeros((len(dataBK[:,1])-9))\n",
    "\n",
    "for i in range(9,len(dataBK[:,1])):\n",
    "    RE[i-9] = abs(Mcomp[i]-dataBK[i,1])/dataBK[i,1]\n",
    "   \n",
    "MRE = np.mean(RE)\n",
    "print(MRE)\n",
    "print(max(RE))\n",
    "RE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "299b06ef-c336-49ef-9ff6-57e51ed0288b",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "with open('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DataM_SPA.txt','w') as f:\n",
    "    for i in range(len(Mcomp)):\n",
    "        f.write(str(dataBK[i,0])+' '+str(Mcomp[i])+'\\n')\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "9845312b-a803-4357-b3b5-7c33685a17c4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "56.336223910789286"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wpl1*1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "083e738c-e27f-43b2-bc3f-c94167f2f6c4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.143420076563426"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wy*1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "c8d25662-f2bd-4059-8ac6-16df00263ef9",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.00000000e+00, 0.00000000e+00, 1.65745856e-01, 1.65745856e-01,\n",
       "       1.65745856e-01, 1.65745856e-01, 3.31491713e-01, 8.28729282e-01,\n",
       "       2.48618784e+00, 4.30939226e+00, 6.79558011e+00, 9.61325967e+00,\n",
       "       1.29281768e+01, 1.74033149e+01, 2.03867403e+01, 2.53591160e+01,\n",
       "       3.06629834e+01, 3.72928177e+01, 4.34254144e+01, 4.92265193e+01,\n",
       "       5.48618784e+01, 6.29834254e+01, 7.22651934e+01, 8.08839779e+01,\n",
       "       8.81767956e+01, 9.53038674e+01, 1.05580111e+02, 1.14033149e+02,\n",
       "       1.21988950e+02, 1.30607735e+02, 1.38232044e+02, 1.45690608e+02,\n",
       "       1.55469613e+02, 1.67071823e+02, 1.77845304e+02, 1.87624309e+02,\n",
       "       2.00055249e+02, 2.13480663e+02, 2.26906077e+02, 2.33370166e+02,\n",
       "       2.39834254e+02, 2.46464088e+02, 2.52430939e+02, 2.61546961e+02,\n",
       "       2.69005525e+02, 2.77292818e+02, 2.82430939e+02, 2.91215470e+02,\n",
       "       3.00000000e+02])"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataBK[:,0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "d8cb99fd-4d64-41cc-a6cd-23760dbf6a03",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.042516305209439026"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dpl1 = jmI[abs(wpl1-upliftI[:,1]).argmin(),1]\n",
    "Vpl1 = jmI[abs(wpl1-upliftI[:,1]).argmin(),0]\n",
    "\n",
    "Vpl1t = Base_Shear(Lpl1)\n",
    "\n",
    "(Vpl1t-Vpl1)/Vpl1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "681217ff-e09b-4aec-8e9b-9193bf710f5b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "b03914bb-8734-4148-bde7-4168001d8e2c",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "dataBKC=np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DataBK_C_1.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "de87d150-ff38-40a3-bfa9-0f33cdf74123",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "jm2 = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Tank Archetypes/Tank A/ResultsJM/dispC.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "id": "ebdd7feb-f7ec-4487-a1e8-bd4ed13e5ed9",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(jm2[inxJ[8]:inxJ[9],1]/hi*1000,jm2[inxJ[8]:inxJ[9],0]*hi/1000,label='Reversed cyclic tests using Joystick Model')\n",
    "plt.plot(dataBKC[:,0],dataBKC[:,1],label='Refined FE model (Bakalis and Karamanos, 2021)')\n",
    "plt.xlabel(r'Base Rotation, $\\Psi_{i}$ (mrad)')\n",
    "plt.ylabel(r'Overturning Moment, $M_{OVT}$ (MNm)')\n",
    "#plt.xlim(0,0.01)\n",
    "#plt.ylim(0,20000)\n",
    "#plt.plot((0.003,0.003),(0,40000),ls='--',color='k')\n",
    "plt.legend()\n",
    "plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure6_P2.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "9e25d00a-6683-46fe-ba26-9eb74fb4bfd0",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "with open('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DataC_SPA.txt','w') as f:\n",
    "    for i in range(inxJ[8],inxJ[9]):\n",
    "        f.write(str(jm2[i,1]/hi*1000)+' '+str(jm2[i,0]*hi/1000)+'\\n')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "ad81dd77-91aa-4f3e-98b3-58df41344599",
   "metadata": {},
   "outputs": [],
   "source": [
    "inxJ = []\n",
    "for i in range(0,len(jm2[:,1])):\n",
    "    if(i == 0):\n",
    "        inxJ.append(0)\n",
    "    if(jm2[i-1,1]<0.0 and jm2[i,1]>0.0):\n",
    "        inxJ.append(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "1c4f3108-965b-4cef-8644-4acb5e9d4783",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x20c699b7790>]"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nJ = 9\n",
    "plt.plot(jm2[inxJ[nJ-1]:inxJ[nJ],1]/hi*1000,jm2[inxJ[nJ-1]:inxJ[nJ],0]*hi/1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "id": "45488260-b6ba-4c02-8247-d0149bf5420b",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "EJ = np.zeros(len(inxJ))\n",
    "ksiJ = np.zeros(len(inxJ))\n",
    "dmaxJ = np.zeros(len(inxJ))\n",
    "\n",
    "for i in range(2,len(inxJ)):\n",
    "    EJ[i] = 0.0\n",
    "    for j in range(inxJ[i-1],inxJ[i]):\n",
    "        EJ[i] = EJ[i] + 2*0.5*(jm2[j-1,0]+jm2[j,0])*(jm2[j,1]-jm2[j-1,1])\n",
    "    ksiJ[i] = EJ[i]/(2*np.pi*max(jm2[inxJ[i-1]:inxJ[i],0])*max(jm2[inxJ[i-1]:inxJ[i],1]))\n",
    "    dmaxJ[i] = max(jm2[inxJ[i-1]:inxJ[i],1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 840,
   "id": "0d8ff944-fc9a-449e-9434-e6375e6edb25",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.   ,  0.   ,  2.   ,  3.   ,  4.5  ,  6.   , 11.5  , 17.5  ,\n",
       "       23.   , 29.   , 35.   , 44.995, 52.495, 57.5  , 57.5  ])"
      ]
     },
     "execution_count": 840,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dy = 0.002\n",
    "mu = dmaxJ/dy\n",
    "mu"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 841,
   "id": "5dbab674-2dff-4cf8-bc36-7fa864b849f2",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1d6e74d1c50>"
      ]
     },
     "execution_count": 841,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "muc = np.linspace(1,50,5000)\n",
    "plt.plot(mu[4:],ksiJ[4:],'o',label='Data')\n",
    "#plt.plot(muc,func(muc,0.65,0.08,1),label=r'Porposed model, $R^2=0.99$')\n",
    "\n",
    "plt.xlabel(r'Ductility, $\\mu$',fontsize=12)\n",
    "plt.ylabel(r'Hysteretic Damping Ratio, $\\xi_{hyst}$',fontsize=12)\n",
    "plt.xlim(0,50)\n",
    "plt.ylim(0,0.3)\n",
    "plt.legend(fontsize=10)\n",
    "#plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure6_P2.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "f80dcfbd-a381-4dd1-a692-a7bdf6c2ff68",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "with open('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Tank Archetypes/Damping_Tank_A.txt','w') as file1:\n",
    "    for i in range(1,len(mu)):\n",
    "        file1.write(str(round(mu[i],3))+' '+str(round(ksiJ[i],3))+'\\n')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "49ec3b46-9f01-4a26-8029-027881cb50de",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "R/tb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "cb9d7343-0e40-469c-bdb2-9d6b5e3419a4",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def func(x,a,b,c):\n",
    "    return a*np.exp(b*(x-c))/(1+np.exp(b*(x-c)))**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "5f96d1d8-f481-413e-959c-1bbb5e184793",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.66886039,  0.07135216, -1.05733832])"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "popt,pcov = scp.optimize.curve_fit(func,mu[4:],ksiJ[4:])\n",
    "popt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "c03ef718-1a38-4a2b-8cc6-d5458b752cb8",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.021419544108285653"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "SStot = 0\n",
    "for i in range(4,11):\n",
    "    SStot = SStot + (ksiJ[i] - np.mean(ksiJ[4:]))**2\n",
    "SStot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "id": "340106c9-3607-4b4a-80d5-48ba8a90048f",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "SSerr1 = 0\n",
    "for i in range(4,11):\n",
    "    SSerr1 = SSerr1 + (ksiJ[i] - func(mu[i],0.5,0.07,1))**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "id": "f9898fd5-cd61-4105-8270-d02f16c81b7d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9757307113097773"
      ]
     },
     "execution_count": 141,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1-(SSerr1/SStot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "id": "bccaf51b-2b9a-4b44-b738-69f991ff2453",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.46046532, -0.08848636,  6.92871504])"
      ]
     },
     "execution_count": 142,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "popt,pcov = scp.optimize.curve_fit(func,dmaxJ[4:11]/dy,ksiJ[4:11])\n",
    "popt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "id": "9da62be6-9d2a-44b5-822b-c8ce0a778c7e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.008880049081023772"
      ]
     },
     "execution_count": 143,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "SStot2 = 0\n",
    "for i in range(4,11):\n",
    "    SStot2 = SStot2 + (ksiJ[i] - np.mean(ksiJ[2:]))**2\n",
    "SStot2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "id": "880344e7-91f8-4991-9df2-e58ca8a8cd8e",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "SSerr2 = 0\n",
    "for i in range(4,11):\n",
    "    SSerr2 = SSerr2 + (ksiJ[i] - func(mu[i],0.5,0.08,7))**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "id": "efcf3d59-ba16-40bf-85c8-8303146d5c9a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8920747477792438"
      ]
     },
     "execution_count": 147,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1-(SSerr2/SStot2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "078460f4-d7a7-4815-b0a7-0930d4dbcd6d",
   "metadata": {},
   "outputs": [],
   "source": [
    "dspring = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DynamicAnalyses/Results/disp5.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "73e31d76-26b9-4599-b5ba-c969aa2d82be",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x14fbc8bba50>]"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dspring[:,0],dspring[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "520274a1-791a-4f8a-b37f-ee1911cc62b5",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "fspring = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DynamicAnalyses/Results/force5.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "15998b60-27c3-45a2-986c-ded8552c61ee",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x14fc08ae390>]"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(fspring[:,0],-fspring[:,3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "bd6debf1-9819-4607-91ef-030fda5d939a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x14fc07da650>]"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dspring[:,1],-fspring[:,3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1873dd9b-488e-4897-9e27-d191a84a4631",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
